Two‐level designs of strength 3 and up to 48 runs
Summary. The paper will help practitioners to select strength 3 designs that are useful for screening both main effects and two‐factor interactions. We calculated word length patterns, correlations of four‐factor interaction contrast vectors with the intercept and ranks of the two‐factor interaction matrices for all non‐equivalent two‐level orthogonal arrays of strength 3 and run sizes up to 48. On the basis of these characteristics, there are a limited number of designs that can be recommended for practical use.
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